• Title/Summary/Keyword: Distribution Department

Search Result 23,857, Processing Time 0.044 seconds

Confidence Intervals for the Stress-strength Models with Explanatory Variables

  • Lee, Sangyeol;Park, Eunsik
    • Journal of the Korean Statistical Society
    • /
    • v.27 no.4
    • /
    • pp.435-449
    • /
    • 1998
  • In this paper, we consider the problem of constructing the lower cofidence intervals for the reliability P(X < Y z,w), where the stress X and the strength Y are the random variables with explanatory variables z and w, respectively. As an estimator of the reliability, a Mann-Whitney type statistic is considered. It is shown that under regularity conditions, the proposed estimator is asymptotically normal. Based on the result, the distribution free lower confidence intervals are constructed.

  • PDF

Accelerated Life Testings for System based on a Bivariate Exponential Model

  • Park, Byung-Gu;Yoon, Sang-Chul
    • Communications for Statistical Applications and Methods
    • /
    • v.6 no.2
    • /
    • pp.423-432
    • /
    • 1999
  • Accelerated life testing of product is commonly used to reduced test time and costs. In this papers is considered when the product is a two component system with lifetimes following the bivariate exponential distribution of Sarkar(1987) using inverse power rule model. Also we derived the maximum likelihood estimators of parameters for asymptotic normality. We compare the mean square error of the proposed estimator for the life distribution under use conditions stree through Monte Carlo simulation.

  • PDF

Estimations for a Uniform Scale Parameter in the Presence of an Outlier

  • Woo, Jungsoo;Lee, Changsoo
    • Communications for Statistical Applications and Methods
    • /
    • v.6 no.2
    • /
    • pp.611-620
    • /
    • 1999
  • We shall propose several estimators and confidence intervals for the scale parameter in a uniform distribution with the presence of a generalized uniform outlier and obtain mean squared errors(MSE) for their proposed estimators. And we shall compare numerical MSE's for the proposed several estimators of the scale parameter. Also we shall compare numerically expected lengths of confidence intervals of the scale parameter in a uniform distribution with the presence of a generalized uniform outlier.

  • PDF

Estimation of the Lorenz Curve of the Pareto Distribution

  • Kang, Suk-Bok;Cho, Young-Suk
    • Communications for Statistical Applications and Methods
    • /
    • v.6 no.1
    • /
    • pp.285-292
    • /
    • 1999
  • In this paper we propose the several estimators of the Lorenz curve in the Pareto distribution and obtain the bias and the mean squared error for each estimator. We compare the proposed estimators with the uniformly minimum variance unbiased estimator (UMVUE) and the maximum likelihood estimator (MLE) in terms of the mean squared error (MSE) through Monte Carlo methods and discuss the results.

  • PDF

Bootstrap and Delete-d Jackknife Confidence Intervals for Parameters of an Exponential Distribution

  • Kang, Suk-Bok;Cho, Young-Suk
    • Journal of the Korean Data and Information Science Society
    • /
    • v.8 no.1
    • /
    • pp.59-70
    • /
    • 1997
  • We introduce several estimators of the location and the scale parameters of the two-parameter exponential distribution, and then compare these estimators by the mean square error (MSE). Using the parametric bootstrap estimators and the delete-d jackknife, we obtain the bootstrap and the delete-d jackknife confidence intervals for the location and the scale parameters and compare the bootstrap confidence intervals with the delete-d jackknife confidence intervals by length and coverage probability through Monte Carlo method.

  • PDF

NONINFORMATIVE PRIORS FOR PARETO DISTRIBUTION : REGULAR CASE

  • Kim, Dal-Ho;Lee, Woo-Dong;Kang, Sang-Gil
    • 한국데이터정보과학회:학술대회논문집
    • /
    • 2003.05a
    • /
    • pp.27-37
    • /
    • 2003
  • In this paper, we develop noninformative priors for two parameter Pareto distribution. Specially, we derive Jeffrey's prior, probability matching prior and reference prior for the parameter of interest. In our case, the probability matching prior is only a first order and there does not exist a second order matching prior. Some simulation reveals that the matching prior performs better to achieve the coverage probability. And a real example will be given.

  • PDF

On the Support Vector Machine with the kernel of the q-normal distribution

  • Joguchi, Hirofumi;Tanaka, Masaru
    • Proceedings of the IEEK Conference
    • /
    • 2002.07b
    • /
    • pp.983-986
    • /
    • 2002
  • Support Vector Machine (SVM) is one of the methods of pattern recognition that separate input data using hyperplane. This method has high capability of pattern recognition by using the technique, which says kernel trick, and the Radial basis function (RBF) kernel is usually used as a kernel function in kernel trick. In this paper we propose using the q-normal distribution to the kernel function, instead of conventional RBF, and compare two types of the kernel function.

  • PDF

Distribution of Cestodes in the digestive Trat of Indian Hill-stream Fishes

  • Malhotra, Sandeep-K.;Chauhan, R.S.
    • Parasites, Hosts and Diseases
    • /
    • v.22 no.2
    • /
    • pp.238-241
    • /
    • 1984
  • The distribution of Bothriecephazus sp., Guptaia sp., Mackiewicgia sp., Polyonchobethrium sp., PtMchobotkriune sp., and SeBtga sp. in the alimentary tract of nine Indian hill-stream fishes are described. Though the region around pyloric sphincter was preferred by most cestodes, Senga sp. enabled its existence even in the latter part of intestine apparently because of its well leveloped adhesive apparatus on scolex.

  • PDF

SURFACE BRIGHTNESS AND MASS DISTRIBUTION OF THE LATE TYPE SPIRAL GALAXY NGC 2403

  • Lee, Yoo-Mi;Chun, Mun-Suk
    • Journal of The Korean Astronomical Society
    • /
    • v.22 no.1
    • /
    • pp.31-41
    • /
    • 1989
  • Luminosity profile of the late type spiral galaxy NGC 2403 was obtained using the PDS scan of the plate. Some physical parameters (scale length, total magnitude, central brightness, disk to bulge ratio and concentric indices) were calculated from the brightness distribution. Total mass and the mass to luminosity ratio were estimated from the fitting of various mass models.

  • PDF

SOME IDENTITIES INVOLVING THE DEGENERATE BELL-CARLITZ POLYNOMIALS ARISING FROM DIFFERENTIAL EQUATION

  • SEO, JONG JIN;RYOO, CHEON SEOUNG
    • Journal of applied mathematics & informatics
    • /
    • v.38 no.5_6
    • /
    • pp.427-438
    • /
    • 2020
  • In this paper we define a new degenerate Bell-Carlitz polynomials. It also derives the differential equations that occur in the generating function of the degenerate Bell-Carlitz polynomials. We establish some new identities for the degenerate Bell-Carlitz polynomials. Finally, we perform a survey of the distribution of zeros of the degenerate Bell-Carlitz polynomials.